Description: Inference separating a disjunct of an antecedent. (Contributed by Alexander van der Vekens, 25-May-2018)
Ref | Expression | ||
---|---|---|---|
Hypotheses | jaoi3.1 | |- ( ph -> ps ) |
|
jaoi3.2 | |- ( ( -. ph /\ ch ) -> ps ) |
||
Assertion | jaoi3 | |- ( ( ph \/ ch ) -> ps ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jaoi3.1 | |- ( ph -> ps ) |
|
2 | jaoi3.2 | |- ( ( -. ph /\ ch ) -> ps ) |
|
3 | 1 2 | jaoi | |- ( ( ph \/ ( -. ph /\ ch ) ) -> ps ) |
4 | 3 | jaoi2 | |- ( ( ph \/ ch ) -> ps ) |